Search a number
-
+
14214201132300 = 223521329059125423
BaseRepresentation
bin1100111011011000000001…
…1010001100010100001100
31212022212100010010220110220
43032312000122030110030
53330341140442213200
650121525220431340
72664641104054461
oct316660032142414
955285303126426
1014214201132300
114590232a80764
121716983248550
137c1516444790
14371d84621668
15199b25e854a0
hexced8068c50c

14214201132300 has 144 divisors (see below), whose sum is σ = 44291870138880. Its totient is φ = 3498731976960.

The previous prime is 14214201132293. The next prime is 14214201132317. The reversal of 14214201132300 is 323110241241.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113267389 + ... + 113392811.

It is an arithmetic number, because the mean of its divisors is an integer number (307582431520).

Almost surely, 214214201132300 is an apocalyptic number.

14214201132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214201132300 is an abundant number, since it is smaller than the sum of its proper divisors (30077669006580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14214201132300 is a wasteful number, since it uses less digits than its factorization.

14214201132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154512 (or 154505 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14214201132300 its reverse (323110241241), we get a palindrome (14537311373541).

The spelling of 14214201132300 in words is "fourteen trillion, two hundred fourteen billion, two hundred one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 29059 58118 87177 116236 125423 145295 174354 250846 290590 348708 376269 377767 435885 501692 581180 627115 726475 752538 755534 871770 1133301 1254230 1452950 1505076 1511068 1630499 1743540 1881345 1888835 2179425 2266602 2508460 2905900 3135575 3260998 3762690 3777670 4358850 4533204 4891497 5666505 6271150 6521996 7525380 7555340 8152495 8717700 9406725 9444175 9782994 11333010 12542300 16304990 18813450 18888350 19565988 22666020 24457485 28332525 32609980 37626900 37776700 40762475 48914970 56665050 81524950 97829940 113330100 122287425 163049900 244574850 489149700 3644666957 7289333914 10934000871 14578667828 18223334785 21868001742 36446669570 43736003484 47380670441 54670004355 72893339140 91116673925 94761340882 109340008710 142142011323 182233347850 189522681764 218680017420 236903352205 273350021775 284284022646 364466695700 473806704410 546700043550 568568045292 710710056615 947613408820 1093400087100 1184516761025 1421420113230 2369033522050 2842840226460 3553550283075 4738067044100 7107100566150 14214201132300